(II) A long cylindrical shell of radius R 0 and length ℓ ( R 0 ≪ l ) possesses a uniform surface charge density (charge per unit area) σ (Fig. 22–33). Determine the electric field at points ( a ) outside the cylinder ( R > R 0 ) and ( b ) inside the cylinder (0 < R < R 0 ); assume the points are far from the ends und not too far from the shell ( R ≪ l ) . ( c ) Compare to the result for a long line of charge, Example 22–6. Neglect the thickness of shell. FIGURE 22-33 Problem 33.
(II) A long cylindrical shell of radius R 0 and length ℓ ( R 0 ≪ l ) possesses a uniform surface charge density (charge per unit area) σ (Fig. 22–33). Determine the electric field at points ( a ) outside the cylinder ( R > R 0 ) and ( b ) inside the cylinder (0 < R < R 0 ); assume the points are far from the ends und not too far from the shell ( R ≪ l ) . ( c ) Compare to the result for a long line of charge, Example 22–6. Neglect the thickness of shell. FIGURE 22-33 Problem 33.
(II) A long cylindrical shell of radius R0 and length ℓ
(
R
0
≪
l
)
possesses a uniform surface charge density (charge per unit area) σ (Fig. 22–33). Determine the electric field at points (a) outside the cylinder (R > R0) and (b) inside the cylinder (0 < R < R0); assume the points are far from the ends und not too far from the shell
(
R
≪
l
)
. (c) Compare to the result for a long line of charge, Example 22–6. Neglect the thickness of shell.
(b): A conducting sphere of radius 1.0cm carries a charge which is uniformly distributed on its
surface. The surface charged density is 0.5C/cm², Calculate the electric field at the surface of
sphere.
wid
6 In Fig. 22-27, two identical circu-
lar nonconducting rings are centered
on the same line with their planes
perpendicular to the line. Each ring
has charge that is uniformly distrib-
uted along its circumference. The
rings each produce electric fields at points along the line. For three
situations, the charges on rings A and B are, respectively, (1) qo and
9o, (2) -90 and -90, and (3) - and qo. Rank the situations
according to the magnitude of the net electric field at (a) point P1
midway between the rings, (b) point P, at the center of ring B, and
(c) point P3 to the right of ring B. greatest first.
P,
P3
Ring A
Ring B
Figure 22-27 Question 6.
8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
|
9+
b
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
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